Year 7 · Mathematics

Year 7 maths help and free practice questions

Year 7 is the bridge into secondary maths: integers, the order of operations, percentages and the first steps in algebra such as substitution and simple equations.

Topics the tutor covers at Year 7 level

• Multiplication

  • Two-digit × two-digit
  Practise multiplication

• Division

  • Divide a two-digit number by a one-digit number
  Practise division

• Fractions

  • Equivalent fractions
  • Simplify fractions
  • Add fractions with the same denominator
  • Find a fraction of a quantity
  Practise fractions

• Decimals

  • Add and subtract decimals
  • Multiply and divide decimals by 10, 100 and 1000
  • Write a decimal as a fraction
  Practise decimals

• Percentages

  • Find a percentage of a quantity
  • Convert fractions to percentages
  Practise percentages

• Integers (positive and negative numbers)

  • Add and subtract integers
  Practise integers (positive and negative numbers)

• Algebra

  • Substitute into an expression
  • Solve one-step equations
  • Solve two-step equations
  Practise algebra

• Measurement and unit conversion

  • Convert metric units
  Practise measurement and unit conversion

Topics are grouped by the year levels our tutor uses. Detailed curriculum mapping is being reviewed by teachers before any alignment is claimed.

Year 7 topic guides

• Algebra basics
• Negative numbers for Year 7
• Order of operations (BIDMAS) for Year 7

Year 7 practice questions

Try each question, then reveal the answer and a worked solution. Want more? The tutor makes new ones with hints, instantly.

1. Two-digit × two-digit

   1. What is 49 × 23?

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   Answer: 1127

   49 × 20 = 980 and 49 × 3 = 147. 980 + 147 = 1127.

2. Divide a two-digit number by a one-digit number

   2. What is 99 ÷ 9?

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   Answer: 11

   90 ÷ 9 = 10 and 9 ÷ 9 = 1. So 99 ÷ 9 = 11.

3. Equivalent fractions

   3. Fill in the missing number: 8/10 = ?/20

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   Answer: 16

   10 × 2 = 20, so multiply the numerator by 2 too: 8 × 2 = 16. 8/10 = 16/20.

4. Simplify fractions

   4. Write 2/10 in simplest form.

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   Answer: 1/5

   The highest common factor of 2 and 10 is 2. 2 ÷ 2 = 1 and 10 ÷ 2 = 5, so the answer is 1/5.

5. Add fractions with the same denominator

   5. What is 4/10 + 2/10?

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   Answer: 6/10

   The denominators are both 10, so add the numerators: 4 + 2 = 6. The answer is 6/10 (which simplifies to 3/5).

6. Find a fraction of a quantity

   6. What is 1/2 of 22?

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   Answer: 11

   22 ÷ 2 = 11, and 11 × 1 = 11.

7. Add and subtract decimals

   7. What is 17.9 + 98.6?

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   Answer: 116.5

   Lining up the decimal points: 17.9 + 98.6 = 116.5.

8. Multiply and divide decimals by 10, 100 and 1000

   8. What is 52.65 × 10?

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   Answer: 526.5

   Each digit moves 1 place left (bigger): 52.65 × 10 = 526.5.

9. Write a decimal as a fraction

   9. Write 0.125 as a fraction in simplest form.

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   Answer: 1/8

   0.125 = 125/1000, which simplifies to 1/8.

10. Find a percentage of a quantity

    10. What is 10% of 260?

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    Answer: 26

    10% = 10/100. 10/100 × 260 = 26.

11. Convert fractions to percentages

    11. Write 3/4 as a percentage. (Just type the number.)

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    Answer: 75

    3/4 = 75/100 = 75%.

12. Add and subtract integers

    12. What is 10 + 0?

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    Answer: 10

    10 + 0 = 10.